Characteristic factors for commuting actions of amenable groups

DOI10.1007/s11854-016-0019-7zbMath1354.28011arXiv1402.3843OpenAlexW1556849368MaRDI QIDQ327602

Donald Robertson

Publication date: 19 October 2016

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3843

zbMATH Keywords

ergodicityrecurrenceactionsaveragesamenable groupscharacteristic factors

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (2)

Some open problems on multiple ergodic averages ⋮ Generic properties of extensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Norm convergence of multiple ergodic averages on amenable groups
• Non-conventional ergodic averages for several commuting actions of an amenable group
• Intersective polynomials and the polynomial Szemerédi theorem
• WM groups and Ramsey theory
• Measurable group actions are essentially Borel actions
• An ergodic Szemerédi theorem for commuting transformations
• Extensions of ergodic group actions
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Additive and multiplicative Ramsey theory in the reals and the rationals
• Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa)
• A density version of the Hales-Jewett theorem
• An example of compact extensions of Kronecker factors and skew products of irrational rotations with finite groups
• Elemental methods in ergodic Ramsey theory
• Nonconventional ergodic averages and nilmanifolds
• Joint ergodicity for group actions
• The ergodic theoretical proof of Szemerédi’s theorem
• Universal characteristic factors and Furstenberg averages
• On the norm convergence of non-conventional ergodic averages
• A Roth theorem for amenable groups.
• Unimodular Minimal Structures
• Central sets and a non-commutative Roth theorem
• Convergence of multiple ergodic averages for some commuting transformations

This page was built for publication: Characteristic factors for commuting actions of amenable groups